Merseyside Police Assistant Chief Constable Jon Roy said the two officers needed medical treatment for injuries to their backs after bottles were thrown at them as they went to help an assault victim in a crowd of supporters at the Pier Head on Friday night.
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He said the decision was made to safely manage the situation after the risk of police intervention was assessed.
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A Section 34 dispersal order was later put in place for the city centre, allowing police to disperse the crowds who had gathered.
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A joint statement on behalf of the club, Liverpool City Council and Merseyside Police, said: "Our city is still in a public health crisis and this behaviour is wholly unacceptable.
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"The potential danger of a second peak of Covid-19 still exists and we need to work together to make sure we don't undo everything that has been achieved as a region during lockdown."